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Finding the Fourth Proportional to 206,101.92, 284,420.24 and 116,686.24

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Solution

The fourth proportional to 206,101.92, 284,420.24 and 116,686.24 is: 161,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,101.92 : 284,420.24 = 116,686.24 : x
  2. Step 2: Convert to fraction form
    206,101.92/284,420.24 = 116,686.24/x
  3. Step 3: Cross multiply
    206,101.92x = 284,420.24 × 116,686.24
  4. Step 4: Simplify right side
    206,101.92x = 33,187,928,385.50
  5. Step 5: Solve for x
    x = 33,187,928,385.50/206,101.92
  6. Step 6: Final answer
    x = 161,026.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.